The reducible representation Γ, in the table is equal to the following superposition of the irreducible… · ABC26PH0090
Subject: Physical Chemistry · Chapter: Group Theory · Topic: Character Tables · Exam: CSIR NET DEC 2019 · Marks: 2 · Difficulty: Medium
The reducible representation $\Gamma$, in the table is equal to the following superposition of the irreducible representation of $C_{2v}$ point group. | $\boldsymbol{C}_{\mathbf{2} \boldsymbol{v}}$ | $E$ | $\boldsymbol{C}_{\mathbf{2}}$ | $\sigma_{v}$ | $\sigma_{v}{ }^{\prime}$ |
|---|
| $\boldsymbol{A}_{\mathbf{1}}$ | 1 | 1 | 1 | 1 |
| $\boldsymbol{A}_{\mathbf{2}}$ | 1 | 1 | -1 | -1 |
| $\boldsymbol{B}_{\mathbf{1}}$ | 1 | -1 | 1 | -1 |
| $\boldsymbol{B}_{\mathbf{2}}$ | 1 | -1 | -1 | 1 |
| Г | 8 | -2 | -6 | 4 |
(a)$\mathrm{A_1 + 2A_2 + 5B_1}$
(b)$\mathrm{A_1 + 2A_2 + 5B_2}$
(c)$\mathrm{5A_1 + A_2 + 2B_1}$
(d)$\mathrm{A_1 + 5A_2 + 2B_1}$
Answer
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